Explain the additive inverses, and find the additive inverses of the following numbers:

Question

-2.3; 5^2; -2/3^3 ; The answer must be written as a fraction of natural numbers

Answer 1

The additive inverse of a number is a number which when added to the initial number results in 0, for example:

the additive inverse to 10 is -10 because 10 + (-10) = 0.

 

(-2.3) + 2.3 = 0  The additive inverse is 2.3 which can be written as in the next line.

2.3 = 2 + 3/10 = 23/10.

 

5² = 25 + (-25) = 0  The additive inverse is -25.

 

There is some question about the 3rd problem.

Do you mean -2/3³ or -(2/3)³ or (-2/3)³?

 

-2/3³ = -2/8 = -1/4 for which the additive inverse is 1/4.

-(2/3)³ = -8/27 for which the additive inverse is 8/27.

In this case (-2/3)³ also equals -8/27.